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Finding the Fourth Proportional to 10,320, 14,242.08 and 5,783.12

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Solution

The fourth proportional to 10,320, 14,242.08 and 5,783.12 is: 7,980.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,320 : 14,242.08 = 5,783.12 : x
  2. Step 2: Convert to fraction form
    10,320/14,242.08 = 5,783.12/x
  3. Step 3: Cross multiply
    10,320x = 14,242.08 × 5,783.12
  4. Step 4: Simplify right side
    10,320x = 82,363,657.69
  5. Step 5: Solve for x
    x = 82,363,657.69/10,320
  6. Step 6: Final answer
    x = 7,980.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.